382600267 Intro to Mastering Physics PDF

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Introduction to MasteringPhysics

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Introduction to MasteringPhysics Due: 11:59pm on Tuesday, June 5, 2018 You will receive no credit for items you complete after the assignment is due. Grading Policy

A message from your instructor... The purpose of the following exercises is to familiarize you with the system you will be using for the rest of your course. These exercises are not intended to teach or test your knowledge of any specific subject material. Therefore, you will not be penalized for using hints or submitting incorrect answers.

A Welcome to Mastering! Mastering presents homework items assigned by your instructor and works with you to answer them. Homework items typically have an introduction, possibly figures, and one or more parts for you to answer. Type of help offered Mastering tells you immediately whether or not your answers are correct. Usually, you will have multiple chances to arrive at the correct answer. Your instructor will determine how many tries you have available. In many items, hints are available to help you if you get stuck. If you don't need the hints to solve the problem, you can still use them for review later on. If you submit an incorrect answer, Mastering often responds with specific, helpful feedback. Mastering is forgiving of many typos and formatting mistakes. If it can't figure out what you entered, it will let you know and give you another chance. These exercises were chosen specifically to lead you through the key features of Mastering and are not intended to test your knowledge of any specific subject material. Therefore, on this item you will not be penalized for using hints and submitting incorrect answers. In fact, you should submit incorrect answers and use the hints to see what happens!

Part A How many squares are in this grid ? Note that the figure link lets you know that a figure goes along with this part. This figure is available to the left. Enter your answer as a number in the box below and then submit your answer by clicking Submit.

ANSWER: Number of squares =

Grading See the help file available by clicking the Help link at the top right corner, if you want to know more about how grading works in general. Here is the most important information you'll need. You must complete every part to get credit for an item. To complete a part, either answer the main part question correctly or click the Request Answer button. In a graded homework item, each part counts equally toward your score on the overall item. If you get full credit on each part, you will receive full credit for the problem. You lose a fraction of the credit for a part when you submit an incorrect answer. Whether you do lose credit and how much you lose are set by Typesetting math: 63%

Introduction to MasteringPhysics

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your instructor. However, you won't lose credit for most types of formatting mistakes or for submitting a blank answer. As you might expect, you will receive no credit for a part if you use the Request Answer button. If you just can't figure out a question, there is a way to get partial credit by using hints, as the following part will illustrate.

Part B What is the magic number? Note that there is a figure also associated with this part. However, the figure for Part A may still be visible on the left. To view the figure associated with Part B, click on the figure link. A new figure should appear on the left. You could try to guess the magic number but you would probably use up all your tries before getting the answer. Notice the View Available Hint(s) link underneath the question statement for this part. Clicking this link will open up a list of hints that will guide you to the correct number.

Hint 1. Different types of hints and their impact on grading Notice that there are three hints for this question. You are not required to use all of the hints or to use them in order. Each hint has a tagline that describes its contents. Based on the tagline you can decide whether or not a particular hint will be useful to you. There are two kinds of hints. Some hints, such as Hint 2 below, just provide you with information. Other hints, such as Hint 3 below, give you an opportunity to answer a simpler question that is related to the main question you are solving. These hints either have questions in the tagline or tell you to do something (e.g., Find..., Determine..., Identify..., etc.). There are two ways that this type of hint can help you: Answering the simpler question gives you a chance to check that you are on the right track. If you correctly answer the simpler question, you will receive partial credit for the part even if you are unable to answer the main question. Your instructor may choose to give you a bonus for not using hints or to deduct a small penalty for using hints. If you are stuck, using the hints will usually result in a higher score than simply trying to guess because you may lose fewer points for opening a hint than for getting the answer to the main question incorrect. There is a more detailed explanation of how hints are graded in the help available by clicking the Help link at the top right corner of your screen in the main Mastering window. In this problem, however, you will not lose any credit for using the hints. Now, open up the second hint for some help finding the magic number.

Hint 2. How to approach the problem Although you could try to guess the magic number you would most likely exhaust your tries before getting the correct answer. To help you, the magic number is , where is a number between 1 and 10.

Hint 3. What is ? Recall that the previous hint stated that the magic number is between 1 and 10. Try to guess the value of .

, where

is a number between 1 and 10. Specifically

You may submit as many guesses as you need. Enter each guess into the answer box that follows. ANSWER: =

ANSWER: magic number =

Typesetting math: 63%

is an even number

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Part C Multiple-choice questions have a special grading rule determined by your instructor. Assume that your instructor has decided to grade these questions in the following way: If you submit an incorrect answer to a multiple-choice question with options, you will lose of the credit for that question. Just like the similar multiple-choice penalty on most standardized tests, this rule is necessary to prevent random guessing.If a multiple-choice question has five answer choices and you submit one wrong answer before getting the question correct, how much credit will you lose for that part of the question? ANSWER:

100 50 33 25 20

Introduction to Numeric Answers This exercise is not intended to test your knowledge of any specific subject material. Therefore, on this problem you will not be penalized for using hints or submitting incorrect answers. Overview When an assignment question requires that you enter a numeric answer, you will see an answer box like the one illustrated here.

To answer this type of question, you will need to type the numeric value for distance in the rectangle between the quantity you are solving for (distance) and the units (meters). In addition to typing alphanumeric values from your keyboard, you can enter non-numeric information by using either the menu tabs above the rectangular answer box (for more information click the equivalent key strokes. (click Grading Typesetting math: 63%

(Keyboard shortcuts) button for the list)

(Help) button) or

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Tolerance For grading, your numeric answers often (but not always) can be within a tolerance range of the official answer. For example, if the answer to a numeric problem with a tolerance of 2% were 105, answers between 103 and 107 would be graded as correct. If you submit an answer that is rounded to within the grading tolerance but is not the exact answer, you will receive full credit. If this value is needed in future parts use the full precision value for subsequent parts. Significant figures Most questions with numeric answers will require your answer to be given to at least three digits or significant figures. Your answer may be graded as incorrect if you have calculated correctly but then rounded your final answer to too few digits. If a different number of significant figures is required, this will be part of the question's answer instructions. When you need to do multiple calculations to get an answer, use more significant figures than required in each calculation and round at the end only. Rounding too early can cause your final answer to be outside the tolerance range.

Part A For most answers, you will simply enter your numeric answer directly into the space provided to the right of the equal sign. Answer the following question by typing the numeric answer into the answer box. If you have a gross of items, you have 144 items. If you buy a gross of eggs, how many dozen eggs do you have? Express your answer in dozens. Do not enter the units; they are provided to the right of the answer box.

Hint 1. How many items are in a dozen? If you have a dozen items, how many items do you have? ANSWER:

6 items 12 items 13 items

ANSWER: number of eggs = 12

Part B When entering large numbers in the answer box, do not use commas. For example, enter 1276400 for the number 1,276,400. Do not enter 1,276,400 . If you accidentally enter commas, you will get a message that your answer is incorrect. Answer the following question by typing the numeric answer into the answer box. What is the sum of 9260 and 3240? Express your answer numerically to at least three significant figures.

Hint 1. How to compute the sum Recall that the sum of two numbers is the result you obtain by adding the two numbers together.

ANSWER: sum = 12500

Scientific notation You may want to enter 367,000,000 in scientific notation as Typesetting math: 63%

. There are two ways to do this.

Introduction to MasteringPhysics

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To use a template, click the To use the keyboard,

button found under the

menu.

Instead of the symbol, use a multiplication dot ( ) by typing the keyboard multiplication symbol * (usually Shift + 8). To input the exponent for numbers written in scientific notation, do either of the following:

Click the button found under the Type ^ (Shift + 6) from your keyboard. For example,

menu.

can be entered in the answer box by typing 3.67*10^8.

Part C Practice entering numbers that include a power of 10 by entering the diameter of a hydrogen atom in its ground state, answer box.

, into the

Express the diameter of a ground-state hydrogen atom in meters using a power of 10. Do not enter the units; they are provided to the right of the answer box. ANSWER: = 1.06×10−10

Part D If you are asked to provide a set of two or more numeric answers, separate them with commas. For example, to provide the year that Sputnik (the first satellite to be sent into orbit around the Earth) was launched and the year humans first walked on the Moon, you would enter 1957,1969 in the answer box. A rectangle has a length of 5.50 and a width of 12.0 . What are the perimeter and area of this rectangle? Enter the perimeter and area numerically separated by a comma. The perimeter should be given in meters and the area in square meters. Do not enter the units; they are provided to the right of the answer box.

Hint 1. How to find the perimeter The perimeter of a two-dimensional shape is the distance around the outside edge of the shape. In the case of a rectangle, there are two sides of length and two sides of width . Therefore, if you were to walk around the outside of a rectangle, you would walk a distance of or .

Hint 2. How to find the area The area

of a rectangle is given by the product of its length

and width

:

.

ANSWER: perimeter, area = 35.0,66.0

,

Introduction to Numeric Answers with Units This exercise is not intended to test your knowledge of any specific subject material. Therefore, on this problem you will not be penalized for using hints or submitting incorrect answers. Overview When an assignment question requires that you enter an answer consisting of a numeric value and its units, you will see an answer box like the one illustrated here. Typesetting math: 63%

Introduction to MasteringPhysics

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To answer this type of question, you will need to type the numeric value and the appropriate units in the boxes provided. To enter a numeric value, click in the Value box and then type in the value. You can enter only numeric values, including scientific notation. You can’t enter calculations or algebraic expressions. The same grading, tolerance, and significant figure rules apply to the numeric value of your number and units answer as apply to numeric answers. To enter units, click in the Units box and then enter the abbreviated unit. You can enter any of the following: A single unit such as , , , , or . A single unit with a prefix such as or . A compound unit such as or . Note that you must use explicit multiplication in compound units. For example, newtonmeters can be entered as either or , but not . A compound unit with a prefix such as . To undo your work, click

. To redo your work, click

To clear your work (restart), click

.

.

To view a list of keyboard shortcuts, click

. Here are some of the most common shortcuts:

Compound unit multiplication: Type * (Shift + 8) or Type - (a hyphen). Exponent: Type ^ (Shift + 6). Fraction: Type / (a forward slash). Degree symbol: Type \deg. For more information, click (

). To identify the purpose of any icon, simply place your cursor over it. For instance, here is an example showing

the degree symbol:

Part A Answer the following question by entering the numeric value with appropriate units. If the length of one side of a square is 12.0

, what is the perimeter of the square?

Express the perimeter with the appropriate units.

Hint 1. Definition of a perimeter The perimeter of a square is the sum of the lengths of all four sides of the square.

ANSWER: perimeter = 48.0

Part B When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a prefix with the unit. A pain-relieving pill has a mass of 0.005 . Express the pill’s mass in grams using scientific notation or in milligrams. Express your answer in scientific notation to one significant figure or use a prefix on the unit. Typesetting math: 63%

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Hint 1. How to interpret the prefix milli The prefix

(milli) implies multiplication by

; thus, a milligram is

.

ANSWER: mass = 5×10 −3

Part C You can also enter units that are combinations of other units. Keep in mind that you have to indicate the multiplication of units explicitly either with a

multiplication dot or a dash. You can add a multiplication dot by selecting the dot The weight of an object is the product of its mass, its weight?

, and the acceleration of gravity,

from the Templates (where

menu.

). If an object’s mass is

, what is

Express the weight with the appropriate units.

Hint 1. The units for weight To calculate the weight of an object, you must multiply its mass by the acceleration due to gravity: Because you are multiplying a value with the units

by a value with the units

, find the resulting units by multiplying both units together:

.

ANSWER:

weight = 98

Part D You can enter units that are combinations of units with prefixes. However, you must maintain the same unit system given in the problem. For example, this question uses the SI unit system. Therefore an answer in U.S. customary units, such as miles per hour would not be accepted as correct. A car traveling with constant speed travels 150

in 7200 . What is the speed of the car?

Express the speed with the appropriate units.

Hint 1. The equation for computing speed If an object is moving with constant speed, its speed is given by

ANSWER: 2.1×10−2

Typesetting math: 63%

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Part E You can enter compound units that are combinations of other units that are multiplied together. To enter the explicitly, type (shift + 8) on the keyboard, or use the template in the Templates

menu.

Torque can be calculated by multiplying the force ( ) applied at to the lever arm at a distance ( ) from the pivot point (point of rotation), the compound SI unit for the torque is . If the force (at to the lever arm) applied is and it is applied at from the pivot point (point of rotation), what is the torque on the lever? Express the torque with the appropriate units.

Hint 1. The equation for computing torque If a lever has a constant force applied at given by

to the lever arm at a fixed distance from the pivot point (point of rotation), the torque on the lever is

ANSWER: 30

Introduction to Significant Figures This exercise is not intended to test your knowledge of any specific subject material. Therefore, on this problem you will not be penalized for using hints or submitting incorrect answers. Overview Many questions in Mastering require you to enter your answer to a specified number of significant figures (for questions where it is not specified, simply follow the standard rules for significant figures as presented in your textbook). For grading purposes, some numeric answers must be exact. Suppose you are asked "How many days are in a week?" The answer must be "7." Other numeric answers may be graded as correct not only when they match the exact answer but also if they fall within an acceptable range of the exact answer. This range is known as the grading tolerance. Suppose you are asked "How many days are in a year?" The precise answer is 365.24 days. However, a calendar contains 365 days, so the Mastering system will also accept that as correct. An answer that falls within the Mastering grading tolerance will also be marked as correct and you will be given full credit. You will see a feedback box that looks like the one below:

Because you rounded differently than the system did, your rounded answer might affect your work on further calculations in the same item and could cause your next answer to fall outside of the tolerance. To prevent this, you will be asked to use the unrounded answer for all future parts.

Part A Suppose you are asked to find the area of a rectangle that is 2.1wide by 5.6long. Your calculator answer would be 11.76 . Now suppose you are asked to enter the answer to two significant figures. (Note that if you do not round your answer to two significant figures, your answer will fall o...